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Finding the Third Proportional to 72,635.63 and 156,739.50

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Solution

The third proportional to 72,635.63 and 156,739.50 is: 338,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,635.63 : 156,739.50 = 156,739.50 : x
  2. Step 2: Convert to fraction form
    72,635.63/156,739.50 = 156,739.50/x
  3. Step 3: Cross multiply
    72,635.63x = 156,739.50 × 156,739.50
  4. Step 4: Simplify right side
    72,635.63x = 24,567,270,860.25
  5. Step 5: Solve for x
    x = 24,567,270,860.25/72,635.63
  6. Step 6: Final answer
    x = 338,226.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.